Topic: Venn Diagrams and Algebra of Sets Solve the following problem. In a group of 100 freshman students, 36 are enrolled in Algebra, 29 in Trigonometry, and 32 in English. Of these, 11 are taking both Algebra and Trigonometry, 9 both Algebra and English, 12 both Trigonometry and English, and 6 all the three subjects. How many are enrolled in: (a) At least one of the three subjects (b) Neither of the three subjects?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 5SE: Answer the following questions. 5. What is the term for the arrangement that selects r objects from...
icon
Related questions
Question

Topic: Venn Diagrams and Algebra of Sets

Solve the following problem.      

In a group of 100 freshman students, 36 are enrolled in Algebra, 29 in Trigonometry, and 32 in English. Of these, 11 are taking both Algebra and Trigonometry, 9 both Algebra and English, 12 both Trigonometry and English, and 6 all the three subjects. 

How many are enrolled in:
(a) At least one of the three subjects
(b) Neither of the three subjects?

Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning